566.5 is what percent of 663 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 663 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 663, so we can write it down as 100%=663.
4. We know, that x% equals 566.5 of the output value, so we can write it down as x%=566.5.
5. Now we have two simple equations:
1) 100%=663
2) x%=566.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=663/566.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 566.5 is what percent of 663

100%/x%=663/566.5
(100/x)*x=(663/566.5)*x       - we multiply both sides of the equation by x
100=1.1703442188879*x       - we divide both sides of the equation by (1.1703442188879) to get x
100/1.1703442188879=x
85.444947209653=x
x=85.444947209653

now we have:
566.5 is 85.444947209653% of 663